MyFeynman

The 6 pillars of how we teach Maths

1

Bloom's Taxonomy · Webb's Depth of Knowledge · SOLO Taxonomy

Cognitive depth

We don't just check if your child got the right answer. We identify which level of Maths thinking they're operating at — recall, understanding, application, or analysis — and push them to the next one.

  • Bloom's 6 levels (Remember → Create) tag every session note so progress in Maths is visible, not guessed.
  • Webb's DoK measures whether your child can solve a problem only when it looks like the textbook, or when it looks completely different.
  • Our knowledge map follows SOLO Taxonomy — from scattered facts to connected mathematical understanding — so parents see how ideas link together.
Bloom's Taxonomy pyramidCreateEvaluateAnalyseApplyUnderstandRememberHigher-order thinking ↑
Webb's Depth of KnowledgeDoK 4ExtendedDoK 3StrategicDoK 2SkillDoK 1RecallDeeper thinking ↑
2

VARK Model · Cognitive Load Theory

Learning style & modality

A child who's struggling with fractions shouldn't also be trying to decode English instructions. Reducing the language barrier cuts cognitive load — which is why a mother-tongue Maths tutor isn't just comforting, it's scientifically faster.

  • At onboarding, we assess whether your child learns Maths best through diagrams, explanations, written notes, or hands-on problem solving.
  • Every piece of practice we send is built for their modality — animations for visual learners, walkthroughs for others.
  • Language-matched tutoring removes the translation burden so working memory goes to the Maths, not decoding words.
VARK learning modalitiesVisualAuditoryRead/WriteKinestheticVARK
3

Dylan Wiliam's Strategies · Hinge Questions · Spaced Repetition · Interleaving

Formative assessment

After every session, your child's Maths specialist identifies the one question that reveals exactly where the gap is. That becomes the starting point for tomorrow's practice.

  • Session notes follow a formative assessment protocol — clarifying goals, eliciting evidence, and giving feedback that moves Maths learning forward.
  • Hinge questions diagnose precisely where mathematical understanding breaks down — not just that an answer was wrong.
  • Daily WhatsApp practice uses spaced repetition across the forgetting curve, and interleaved practice for stronger long-term retention of Maths concepts.
Forgetting curve and spaced repetitionRetentionTimeWithout reviewSpaced practice on WhatsApp
4

Zone of Proximal Development · Scaffolding · Growth Mindset

Metacognition & self-regulation

We don't just give answers. We build the ladder and teach your child to climb it in Maths — then remove the ladder one rung at a time.

  • Every session starts in the Zone of Proximal Development — just above what your child can do alone, just below what's too hard.
  • Specialists ask your child to explain why they chose an approach to a problem, building the self-monitoring skill that separates good students from great ones.
  • We train specialists to say 'not right yet' instead of 'wrong' — because research shows this shapes long-term confidence in Maths.
Metacognition and self-regulationToo hard (yet)Frustration zoneZone of Proximal DevelopmentJust above what they can do alonewith tutor scaffoldingCan do independentlyMastered skillsTCScaffoldingremoved over timeNot rightyet.
5

Curriculum-Based Measurement · Formative vs Summative · Error Analysis

Diagnostic precision

When your child gets a problem wrong, we don't just mark it incorrect. We categorise the error — conceptual gap, procedural mistake, or careless slip — because each requires a completely different fix.

  • Weekly check-ins are formative — they tell us what to do next. Exams are summative — they only tell you how your child did.
  • Curriculum-Based Measurement ties brief Maths assessments directly to what's being taught that week.
  • Error analysis drives the next session's focus — not generic revision of the whole chapter.
Error analysisConceptual gapWrong ideaProcedural errorWrong stepsCareless slipKnows itEach error → different fix
6

Retrieval Practice · The Testing Effect · Sleep & Memory Consolidation

Learning science

Testing yourself is more effective than re-reading notes — by a factor of two, in controlled studies. Every daily Maths quiz we send is retrieval practice, not busywork.

  • Active recall through daily quizzes beats passive re-reading — backed by peer-reviewed research (Roediger & Karpicke).
  • Evening preview material primes the brain before sleep consolidates the Maths learned that day.
  • Most students cram the night before. We space Maths practice across days and weeks so your child retains — not just for the exam, but permanently.
Retrieval practice effectRe-readingDaily quiz?Active recallTesting beats re-reading

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